Abstract:
Examples of one-dimensional lattice systems are considered, in which patterns of different spatial scales arise alternately, so that the spatial phase over a full cycle undergoes transformation according to an expanding circle map that implies the occurrence of Smale – Williams attractors in the multidimensional state space. These models can serve as a basis for design electronic generators of robust chaos within a paradigm of coupled cellular networks. One of the examples is a mechanical pendulum system interesting and demonstrative for research and educational experimental studies.
\Bibitem{Kuz20}
\by S. P. Kuznetsov
\paper Some Lattice Models with Hyperbolic Chaotic Attractors
\jour Rus. J. Nonlin. Dyn.
\yr 2020
\vol 16
\issue 1
\pages 13--21
\mathnet{http://mi.mathnet.ru/nd691}
\crossref{https://doi.org/10.20537/nd200102}
\elib{https://elibrary.ru/item.asp?id=43267806}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85084433427}
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https://www.mathnet.ru/eng/nd691
https://www.mathnet.ru/eng/nd/v16/i1/p13
This publication is cited in the following 2 articles:
S. V. Gonchenko, D. V. Turaev, A. O. Kazakov, M. H. Kaynov, “On Methods For Verification of the Pseudohyperbolicity of Strange Attractors”, Izv. Vyss. Uchebn. Zaved.-Prikl. Nelineynaya Din., 29:1 (2021), 160–185
V. P. Kruglov, P. V. Kuptsov, “Theoretical Models of Physical Systems With Rough Chaos”, Izv. Vyss. Uchebn. Zaved.-Prikl. Nelineynaya Din., 29:1 (2021), 35–77
Citation in format AMSBIB
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